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Finding the Fourth Proportional to 415.44, 572.91 and 268.13

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Solution

The fourth proportional to 415.44, 572.91 and 268.13 is: 369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 572.91 = 268.13 : x
  2. Step 2: Convert to fraction form
    415.44/572.91 = 268.13/x
  3. Step 3: Cross multiply
    415.44x = 572.91 × 268.13
  4. Step 4: Simplify right side
    415.44x = 153,611.49
  5. Step 5: Solve for x
    x = 153,611.49/415.44
  6. Step 6: Final answer
    x = 369.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.